Question

3/5 and 2/2 common denominator

Answer 1

To find a common denominator for the fractions \( \frac{3}{5} \) and \( \frac{2}{2} \), we need to identify the least common multiple (LCM) of the denominators, which are 5 and 2.

The multiples of 5 are: 5, 10, 15, 20, ...
The multiples of 2 are: 2, 4, 6, 8, 10, ...

The smallest common multiple is 10.

Now we can convert each fraction to have this common denominator:

1. For \( \frac{3}{5} \):
- Multiply both the numerator and the denominator by 2:
\[
\frac{3 \times 2}{5 \times 2} = \frac{6}{10}
\]

2. For \( \frac{2}{2} \):
- Multiply both the numerator and the denominator by 5:
\[
\frac{2 \times 5}{2 \times 5} = \frac{10}{10}
\]

Now we have both fractions with a common denominator of 10:

\[
\frac{3}{5} = \frac{6}{10}
\]
\[
\frac{2}{2} = \frac{10}{10}
\]

So, the fractions \( \frac{6}{10} \) and \( \frac{10}{10} \) can now be compared or added/subtracted with ease.